Linear orthogonality preservers between function spaces associated with commutative JB*-triples Cabezas, David Peralta Pereira, Antonio Miguel Orthogonality preserver Biorthogonality preserver Abelian JB*-triple Automatic continuity It is known, by Gelfand theory, that every commutative JB*-triple admits a representation as a space of continuous functions of the form C-0(T) (L) = {alpha epsilon C-0(L) : alpha(lambda t) =lambda alpha(t), A lambda epsilon T, t epsilon L}, where L is a principal T-bundle and T denotes the unit circle in C. We provide a full technical description of all orthogonality preserving (non-necessarily continuous nor bijective) linear maps between commutative JB*-triples. Among the consequences of this representation, we obtain that every linear bijection preserving orthogonality between commutative JB*-triples is automatically continuous and bi-orthogonality preserving. 2022-09-30T08:50:59Z 2022-09-30T08:50:59Z 2022-05-23 info:eu-repo/semantics/article Published version: David Cabezas & Antonio M. Peralta (2022) Linear orthogonality preservers between function spaces associated with commutative JB⋆-triples, Linear and Multilinear Algebra, DOI: [10.1080/03081087.2022.2119466] https://hdl.handle.net/10481/77094 10.1080/03081087.2022.2119466 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Taylor & Francis